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Finding the Fourth Proportional to 681.07, 1,023.66 and 450.74

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Solution

The fourth proportional to 681.07, 1,023.66 and 450.74 is: 677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.07 : 1,023.66 = 450.74 : x
  2. Step 2: Convert to fraction form
    681.07/1,023.66 = 450.74/x
  3. Step 3: Cross multiply
    681.07x = 1,023.66 × 450.74
  4. Step 4: Simplify right side
    681.07x = 461,404.51
  5. Step 5: Solve for x
    x = 461,404.51/681.07
  6. Step 6: Final answer
    x = 677.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.